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34130140000 = 255411155137
BaseRepresentation
bin11111110010010100…
…001001101101100000
310021002120212202100021
4133302110021231200
51024344303440000
623402411203224
72315530255225
oct376224115540
9107076782307
1034130140000
1113524635380
126746146514
1332abc50c18
14191ab9794c
15d4b50911a
hex7f2509b60

34130140000 has 120 divisors (see below), whose sum is σ = 91599060168. Its totient is φ = 12410880000.

The previous prime is 34130139973. The next prime is 34130140003. The reversal of 34130140000 is 4103143.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34130140003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 142432 + ... + 297568.

Almost surely, 234130140000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34130140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45799530084).

34130140000 is an abundant number, since it is smaller than the sum of its proper divisors (57468920168).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34130140000 is a wasteful number, since it uses less digits than its factorization.

34130140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155178 (or 155155 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 34130140000 its reverse (4103143), we get a palindrome (34134243143).

The spelling of 34130140000 in words is "thirty-four billion, one hundred thirty million, one hundred forty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 220 250 275 352 400 440 500 550 625 800 880 1000 1100 1250 1375 1760 2000 2200 2500 2750 4000 4400 5000 5500 6875 8800 10000 11000 13750 20000 22000 27500 44000 55000 110000 155137 220000 310274 620548 775685 1241096 1551370 1706507 2482192 3102740 3413014 3878425 4964384 6205480 6826028 7756850 8532535 12410960 13652056 15513700 17065070 19392125 24821920 27304112 31027400 34130140 38784250 42662675 54608224 62054800 68260280 77568500 85325350 96960625 124109600 136520560 155137000 170650700 193921250 213313375 273041120 310274000 341301400 387842500 426626750 620548000 682602800 775685000 853253500 1066566875 1365205600 1551370000 1706507000 2133133750 3102740000 3413014000 4266267500 6826028000 8532535000 17065070000 34130140000